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kiyahm4739
17.03.2020 •
Physics
3. Sailors use a capstan (shown below) to raise and lower the anchor. It takes two sailors located 1 meter from the center to turn the capstan.
How far from the center would one sailor have to be to turn the capstan by himself?
A 1 meter
B. 2 meters
C.3 meters
D. Both B and C would work
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Ответ:
B. 2 meters.
Explanation:
To rotate the capstan a certain amount of torque is required, and if each sailor applies a force
at a distance
from the center, then for two sailors the total torque will be
therefore, for one sailor to apply the same torque it must be that the torque
he applies must be equal to the torque that the two sailors applied:
which gives
and since
,
which is choice B.
Ответ: